Purchasing Power Parity & Fisher Effect Flashcards
Absolute purchasing power parity
The equilibrium exchange rate equals ratio of price levels in both nations
Formula
S = P/P*
S= exchange/spot rate
P= domestic price
P*= foreign price
The Law of One Price
A commodity should have the same price in both countries when expressed in the same currency.
What is this law caused by?
Commodity arbitrage
Why do we need PPP (2)
Exchange rate only reflects when goods are traded,
currencies are traded for other purposes e.g to buy capital assets
Different interest rates, speculation or interventions by central banks can influence the FEM.
(basically exchange rate is subject to other factors, so doesnt make it the best way to measure purchasing power)
Purpose of PPP,
and how does it do this? (2)
Find differences in living standards
- by accounting for:
relative cost of living/inflation
Assumption in PPP theory
No transportation or transaction costs , allowing prices of identification goods to be equal when expressed in the same currency, GIVEN a competitive market)
So given this assumption:
Fluctuations in PPP are due toβ¦
Relative inflation differences
Absolute PPP theory be misleading - what does it ignore (2)
Ignores capital account (capital inflows=BoP surplus AS i.e foreign ownership of domestic assets, capital outflows = BoP deficit i.e investing abroad)
Ignores non traded goods - so Will not even give exchange rate that equilibrates trade in goods and services
Relative purchasing power parity
Exchange rate fluctuation should be proportional to the relative change in the price levels of two nations
Formula
Sβ = Pβ/Pβ / Pβ/Pβ x Sβ
Sβ and Sβ is exchange rates in period 1 and base period
Derivation of PPP
Price index of home country (h) and foreign (f) are equal.
Then, the home country experiences an inflation rate of πΌβ, foreign country experiences If.
What are price expressions now, for home and foreign?
Home price index:
Ph (1 + Ih)
Foreign:
ππ(1 + πΌπ)
If πΌβ > πΌπ (home inflation>foreign) and the exchange rate doesnβt change, where is purchasing power stronger.
- What does this mean for PPP?
Purchasing power is greater on foreign goods (since lower inflation)
- PPP does not exist here. (Since PPP believes E.R adjusts to maintain parity in purchasing power, but hasnβt)
So that scenario looked at inflation, but no exchange rate adjustment to maintain PPP.
If inflation occurs and exchange rate of the
foreign currency changesβ¦
What does the foreign price index from the home perspective become?
ππ(1 + πΌπ)(1 + ππ)
ef is the % change in value of foreign currency
(So same, just added the exchange rate change)
What should ef change to?
Change to a value that maintains parity in the new price indexes of the 2 countries following the inflation
How do we find ππ?
Setting formula for the new price index of the foreign
country equal to home price index.
ππ(1 + πΌπ)(1 + ππ)= πβ(1 + πΌβ)
Then solve for ef
ef =(1+ Ih / 1+ If) - 1
(same formula as forward premium in IRP but inflation instead of interest)